Phrase guide

turning number

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

noun

Meaning 1

A version of winding number in which the number of rotations is counted with respect to the tangent of the curve rather than a fixed point.

Definition source: English Wiktionary via Wiktextract

Topics: geometry, mathematical-analysis, mathematics, sciences, topology

Examples

  • 2002, Journal of Physics: Mathematical and general, page 6187, For any oriented curve β(τ),τ∈I,I=[0,Λ] of class C1 (τ is the arclength parametrization) lying in an oriented Euclidean plane E, the turning number T_(n_β) may be defined as T_(n_β)=1/(2π)∫0^Λκ_β(τ)dτ where κ_β(τ) is the signed curvature of β.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

No etymology was provided for this word.